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Are the two indicated angles adjacent? Why or why not?

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Captionless Image
No, the two angles do not share a common side.
No, the two angles do not share a common vertex.
Yes, the two angles share a common side and a common vertex.
Yes, the two angles add to 180 degrees.

1 answer

To determine whether the two indicated angles are adjacent, we need to check if they share a common side and a common vertex.

  • Adjacent angles are two angles that share a common vertex and a common side but do not overlap.

Based on the provided options:

  1. No, the two angles do not share a common side. - This could mean they are not adjacent, but it depends on other factors.
  2. No, the two angles do not share a common vertex. - If they do not share a vertex, they cannot be adjacent.
  3. Yes, the two angles share a common side and a common vertex. - This is the definition of adjacent angles.
  4. Yes, the two angles add to 180 degrees. - This describes supplementary angles, which may or may not be adjacent.

Without the accompanying image, the definitive answer cannot be determined. However, if the two angles share a common side and a common vertex, then they would be considered adjacent. If they do not share either, they are not adjacent.